Home  •  LifeWiki  •  Forums  •  Download Golly

## Universal construction from low density starting conditions

For discussion of specific patterns or specific families of patterns, both newly-discovered and well-known.

### Universal construction from low density starting conditions

I'm working on a proof that this is possible:

Traffic light:
`#C Low density TLx = 5, y = 5, rule = B3/S232bobo\$o\$2bo\$o3bo\$2bo!`

Mango:
`#C Low density mangox = 5, y = 6, rule = B3/S23b2o\$4bo\$2bo\$\$obobo\$4bo!`

Block:
`#C Low density blockx = 4, y = 4, rule = B3/S23obo\$3bo\$bo\$3bo!`

Glider:

`#C Low density glider:x = 5, y = 5, rule = B3/S23bobo\$4bo\$obo\$2bobo\$o!`
Look at me! I make patterns in golly and go on the forums! I wanna be Famous!

Posts: 219
Joined: January 24th, 2018, 4:36 pm

### Re: Universal construction from low density starting conditions

googleplex wrote:I'm working on a proof that this is possible...
#C Low density glider...

Here's another glider predecessor, with slightly lower population and no domino spark:

`x = 5, y = 5, rule = B3/S23bo\$4bo\$obo\$4bo\$bobo!`

That's all you really need to prove construction universality, isn't it? You can build everything else you need by colliding gliders.

dvgrn
Moderator

Posts: 5629
Joined: May 17th, 2009, 11:00 pm